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 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Variational Autoencoders with Gluon\n",
    "\n",
    "Recent progress in variation autoencoders (VAE) has made it one of the most popular frameworks for building deep generative models. In this notebook, we will first introduce the necessary background. Then, we proceed to build a VAE model based on the paper [Auto-Encoding Variational Bayes](https://arxiv.org/abs/1312.6114) and apply it to MNIST dataset for representation learning and sample generation tasks. In this implementation we use the MXNet Gluon API, i.e. `gluon.HybridBlock` and `autograd`.\n",
    "\n",
    "\n",
    "## Introduction of Variational Autoencoders (VAE)\n",
    "\n",
    "### A Quick Recap of Expectation-Maximization (EM)\n",
    "A straightforward way to approach VAE is through the construction of the well-known Expectation-Maximization (EM) algorithm. Please refer to this [tutorial](https://www2.ee.washington.edu/techsite/papers/documents/UWEETR-2010-0002.pdf) or this [blog](https://dingran.github.io/algorithm/EM/) as a refresher on EM. Just to quicly recap a few key elements in EM: insteand of optimizing the log-liklihood ($\\ell(\\theta)$) directly with observable data $x$, latent variable $z$, EM constructs and optimize on a lower bound $\\mathcal{L}(q,\\theta)$ often referred to as **Evidence Lower Bond (EBLO)**. The following equation derives from Jensen's inequality and holds for any $q(z)$ as long as it is a valid probability distribution.\n",
    "\n",
    "$$\n",
    "\\begin{equation*}\n",
    "\\begin{split}\n",
    "\\ell(\\theta) &= \\sum_i \\log\\left( p_{\\theta}(x_i) \\right) \\\\\n",
    "& = \\sum_i \\log\\left( \\int p_{\\theta}(x_i, z) dz \\right)\\\\\n",
    "&= \\sum_i \\log\\left( \\mathbb{E}_{z \\sim Q} \\left[ \\frac {p_{\\theta}(x_i, z)}{q(z)} \\right]\\right)\\\\\n",
    "& {\\ge}\\underbrace{ \\sum_i \\mathbb{E}_{z \\sim Q} \\left[\\log\\left( \\frac {p_{\\theta}(x_i,z)}{q(z)} \\right)\\right]}_{ELBO: \\mathcal{L}(q,\\theta)}\n",
    "\\end{split}\n",
    "\\end{equation*}\n",
    "$$\n",
    "\n",
    "Importantly, among all choices of $q(z)$, we'd be able to maximize the ELBO $\\mathcal{L}(q,\\theta)$ with respect to $q$ if $q$ is chosen to be the inferred posterior, i.e. at $t$-th iteration $q^t(z) = p(z\\vert x_i; \\hat\\theta^{t-1}) = \\frac{p(x_i\\vert z; \\hat\\theta^{t-1})p(z; \\hat\\theta^{t-1})}{\\int p(x_i\\vert z; \\hat\\theta^{t-1})p(z; \\hat\\theta^{t-1}) dz}$. This is the essesce of the E-step in EM algorithm. In M-step, we then maximize over $\\theta$. The particular choice of $q(z)$ in E-step ensures that EM would monotonically increase the ELBO  $\\mathcal{L}(q,\\theta)$, thus the log-liklihood $\\ell(\\theta)$. The chain of improvements through E-step and M-step are illustrated below.\n",
    "\n",
    "$$\\ell(\\theta^{t-1}) \\underset{E-step}{=} \\mathcal L(q^t,\\theta^{t-1}) \\underset{M-step}{\\le} \\mathcal L(q^t,\\theta^t) \\underset{Jensen}{\\le} \\ell(\\theta^{t})$$\n",
    "\n",
    "### From EM to VAE\n",
    "\n",
    "With more complex distributions of $p_\\theta(x\\vert z)$, the integration in E-step for **exact inference** of the posterier $p_\\theta(z\\vert x)$ is intractable. This posterier inference problem can be addressed with **variational inference** methods such as mean-field approximation (where we assume factorizable $q(z)$) or sampling based methods (e.g. collapsed Gibbs sampling for solving Latent Dirichlet allocation). Mean-field approximation put undue constraints on the variational family $q(z)$, and sampling based methods could have slow convergence problems. Moreover, both methods involves arduous derivation of update functions, that would require rederivation even for small changes in model and thus could limit the exploration of more complex models.\n",
    "\n",
    "[Auto-Encoding Variational Bayes](https://arxiv.org/abs/1312.6114) brought about a flexible neural-network based approach. In this framework, the variational inference / variational optimization task of finding the optimal $q$ become a matter of finding the best parameters of a neural network via backpropagation and stochastic gradient descent. Thus making blackbox inference possible as well as allowing scalable trainng for deeper and larger neural network models. We refer to this framework as **Neural Variational Inference**.\n",
    "\n",
    "Here is how it works:\n",
    "- Select a prior for latent variable $p_\\theta(z)$, which may or may not actually involve parameters.\n",
    "- Use a neural network to parameterize the distribution $p_\\theta(x\\vert z)$. Because this part of the model maps latent varibale (code) $z$ to observed data $x$, it is viewed as a \"decoder\" network.\n",
    "- Rather than explictly calculating the intractable $p(z\\vert x)$, use another neural network to parameterize the distribution $q_\\phi(z\\vert x)$ as the approximate posterior. Due to the mapping from from data $x$ to latent variable (code) $z$, this part of the model is viewed as a \"encoder\" network.\n",
    "- The objective is still to maxmize ELBO $\\mathcal{L}(\\phi,\\theta)$. But now instead of separately finding the optimal $\\phi$ (corresponding to $q$ in EM) and $\\theta$ like EM, we can find the parameters $\\theta$ and $\\phi$ jointly via standard stochastic gradient descent.\n",
    "\n",
    "The resulted model resembles an encoder-decoder structure, thus commonly referred to as **variational auto-encoder (VAE)**. \n",
    "\n",
    "In the classic example in [Auto-Encoding Variational Bayes](https://arxiv.org/abs/1312.6114), we have the prior $p(z)$ as a standard isotropic Gaussian $\\mathcal N(0, I)$, and the approximate posterior $q_\\phi(z\\vert x)$ also be isotropic Gaussian $\\mathcal N(\\mu_\\phi(x), \\sigma_\\phi(x) I)$, where $\\mu_\\phi(x)$ and $\\sigma_\\phi(x)$ are functions implemented as neural networks and their outputs are used as the parameters for the Guassian distribution $q_\\phi(z\\vert x)$. This model configuration is often referred as **Gaussian VAE**.\n",
    "\n",
    "With this setup the training loss to minimize is the negative of ELBO and can be expressed as follows:\n",
    "\n",
    "$$\n",
    "\\begin{equation*}\n",
    "\\begin{split}\n",
    "- \\mathcal L(x_i, \\phi,\\theta) & = - \\mathbb{E}_{z \\sim Q_\\phi(z|x_i)} \\left[\\log p_{\\theta}(x_i \\vert z) + \\log p_\\theta(z) - \\log q_\\phi(z\\vert x_i) \\right] \\\\\n",
    "& = - \\mathbb{E}_{z \\sim Q_\\phi(z|x_i)} \\left[\\log p_{\\theta}(x_i \\vert z) \\right] + D_{KL}\\left[\\log q_\\phi(z\\vert x_i) \\| p_\\theta(z)\\right] \\\\\n",
    "& \\approx \\underbrace{\\frac{1}{L} \\sum_s^L \\left[-\\log p_{\\theta}(x_i \\vert z_s) \\right]}_{\\text{Sampling}\\  z_s \\sim Q_\\phi(z\\vert x_i)} + \\underbrace{D_{KL}\\left[\\log q_\\phi(z\\vert x_i) \\| p_\\theta(z)\\right]}_{\\text{Can be calculated analytically between Gaussians}}\n",
    "\\end{split}\n",
    "\\end{equation*}\n",
    "$$\n",
    "\n",
    "where the ELBO above is the same as the ELBO expression in EM but with $p(x,z)$ expanded and with $D_{KL}$ denoting the KL-divergence, i.e. $D_{KL}(Q \\| P)= \\mathbb{E}_{x\\sim Q}[\\log(\\frac{q(x)}{p(x)}]$. As indicated, the first term can be approximated by drawing $L$ Monte Carlo samples from the distribution $q_\\phi(z\\vert x)$ (a very feasible task of drawing from an isotropic Gaussian distribution), while the $D_{KL}$ has convenient analytical solutions which is preferred over Monte Carlo samples in order to have lower variance gradient. \n",
    "\n",
    "With sampling involved, the remaining question is how do we backpropagate through a sampling node in the computation graph. The authors of [Auto-Encoding Variational Bayes](https://arxiv.org/abs/1312.6114) proposed **Reparameterize Trick (RT)**. Instead of sampling $z$ from $\\mathcal N(\\mu_\\phi(x), \\sigma_\\phi(x) I)$ directly, we sample $\\epsilon$ from fixed distribution $\\mathcal{N}(0,I)$ and construct $z = \\mu(x) + \\sigma(x) \\cdot \\epsilon$. This way the random sampling is based on $\\epsilon$, and $z$ deterministically depends on $\\mu(x)$ and $\\sigma(x)$ allowing gradient to flow through them. RT is a generally applicable technique for distribution that allows location-scale transformation or has analytical inverse CDFs. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implementing a Gaussian VAE\n",
    "\n",
    "With the theoretical side of things out of the way, let's start implemting a VAE model!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/rding/anaconda3/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n",
      "/Users/rding/anaconda3/lib/python3.6/site-packages/urllib3/contrib/pyopenssl.py:46: DeprecationWarning: OpenSSL.rand is deprecated - you should use os.urandom instead\n",
      "  import OpenSSL.SSL\n"
     ]
    }
   ],
   "source": [
    "import time\n",
    "import numpy as np\n",
    "import mxnet as mx\n",
    "from tqdm import tqdm, tqdm_notebook\n",
    "from mxnet import nd, autograd, gluon\n",
    "from mxnet.gluon import nn\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using CPU for model_ctx\n"
     ]
    }
   ],
   "source": [
    "def gpu_exists():\n",
    "    try:\n",
    "        mx.nd.zeros((1,), ctx=mx.gpu(0))\n",
    "    except:\n",
    "        return False\n",
    "    return True\n",
    "\n",
    "data_ctx = mx.cpu()\n",
    "if gpu_exists():\n",
    "    print('Using GPU for model_ctx')\n",
    "    model_ctx = mx.gpu(0)\n",
    "else:\n",
    "    print('Using CPU for model_ctx')\n",
    "    model_ctx = mx.cpu()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "mx.random.seed(1)\n",
    "output_fig = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load MNIST"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/rding/anaconda3/lib/python3.6/site-packages/mxnet/test_utils.py:1430: DeprecationWarning: The binary mode of fromstring is deprecated, as it behaves surprisingly on unicode inputs. Use frombuffer instead\n",
      "  label = np.fromstring(flbl.read(), dtype=np.int8)\n",
      "/Users/rding/anaconda3/lib/python3.6/site-packages/mxnet/test_utils.py:1433: DeprecationWarning: The binary mode of fromstring is deprecated, as it behaves surprisingly on unicode inputs. Use frombuffer instead\n",
      "  image = np.fromstring(fimg.read(), dtype=np.uint8).reshape(len(label), rows, cols)\n"
     ]
    },
    {
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f+MY3ctoGqvhUkExVR8ePHy9JatSoURJTKgpR6VC+et3rr79ucahk51Ng/eN9BdiQckhq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\nuzHJNnDs/wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c081ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mnist = mx.test_utils.get_mnist()\n",
    "#print(mnist['train_data'][0].shape)\n",
    "#plt.imshow(mnist['train_data'][0][0],cmap='Greys')\n",
    "\n",
    "n_samples = 10\n",
    "idx = np.random.choice(len(mnist['train_data']), n_samples)\n",
    "_, axarr = plt.subplots(1, n_samples, figsize=(16,4))\n",
    "for i,j in enumerate(idx):\n",
    "    axarr[i].imshow(mnist['train_data'][j][0], cmap='Greys')\n",
    "    #axarr[i].axis('off')\n",
    "    axarr[i].get_xaxis().set_ticks([])\n",
    "    axarr[i].get_yaxis().set_ticks([])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_data = np.reshape(mnist['train_data'],(-1,28*28))\n",
    "test_data = np.reshape(mnist['test_data'],(-1,28*28))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10000,)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mnist['test_label'].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "batch_size = 100\n",
    "n_batches = train_data.shape[0]/batch_size\n",
    "train_iter = mx.io.NDArrayIter(data={'data': train_data}, label={'label': mnist['train_label']}, batch_size = batch_size)\n",
    "test_iter = mx.io.NDArrayIter(data={'data': test_data}, label={'label': mnist['test_label']}, batch_size = batch_size)\n",
    "#train_iter = mx.io.NDArrayIter(data={'data': train_data}, batch_size = batch_size)\n",
    "#test_iter = mx.io.NDArrayIter(data={'data': test_data}, batch_size = batch_size)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class VAE(gluon.HybridBlock):\n",
    "    def __init__(self, n_hidden=400, n_latent=2, n_layers=1, n_output=784, batch_size=100, act_type='relu', **kwargs):\n",
    "        self.soft_zero = 1e-10\n",
    "        self.n_latent = n_latent\n",
    "        self.batch_size = batch_size\n",
    "        self.output = None\n",
    "        self.mu = None\n",
    "        # note to self: requring batch_size in model definition is sad, not sure how to deal with this otherwise though\n",
    "        super(VAE, self).__init__(**kwargs)\n",
    "        # self.use_aux_logits = use_aux_logits\n",
    "        with self.name_scope():\n",
    "            self.encoder = nn.HybridSequential(prefix='encoder')\n",
    "            for i in range(n_layers):\n",
    "                self.encoder.add(nn.Dense(n_hidden, activation=act_type))\n",
    "            self.encoder.add(nn.Dense(n_latent*2, activation=None)) \n",
    "            \n",
    "            self.decoder = nn.HybridSequential(prefix='decoder')\n",
    "            for i in range(n_layers):\n",
    "                self.decoder.add(nn.Dense(n_hidden, activation=act_type))\n",
    "            self.decoder.add(nn.Dense(n_output, activation='sigmoid')) \n",
    "\n",
    "    def hybrid_forward(self, F, x):\n",
    "        h = self.encoder(x)\n",
    "        #print(h)\n",
    "        mu_lv = F.split(h, axis=1, num_outputs=2)\n",
    "        mu = mu_lv[0]\n",
    "        lv = mu_lv[1]\n",
    "        self.mu = mu\n",
    "        #eps = F.random_normal(loc=0, scale=1, shape=mu.shape, ctx=model_ctx) \n",
    "        # this would work fine only for nd (i.e. non-hybridized block)\n",
    "        eps = F.random_normal(loc=0, scale=1, shape=(self.batch_size, self.n_latent), ctx=model_ctx)\n",
    "        z = mu + F.exp(0.5*lv)*eps\n",
    "        y = self.decoder(z)\n",
    "        self.output = y\n",
    "\n",
    "        KL = 0.5*F.sum(1+lv-mu*mu-F.exp(lv),axis=1)\n",
    "        logloss = F.sum(x*F.log(y+self.soft_zero)+ (1-x)*F.log(1-y+self.soft_zero), axis=1)\n",
    "        loss = -logloss-KL\n",
    "        \n",
    "        return loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "n_hidden=400\n",
    "n_latent=2\n",
    "n_layers=2 # num of dense layers in encoder and decoder respectively\n",
    "n_output=784\n",
    "model_prefix = 'vae_gluon_{}d{}l{}h.params'.format(n_latent, n_layers, n_hidden)\n",
    "\n",
    "net = VAE(n_hidden=n_hidden, n_latent=n_latent, n_layers=n_layers, n_output=n_output, batch_size=batch_size)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "net.collect_params().initialize(mx.init.Xavier(), ctx=model_ctx)\n",
    "net.hybridize()\n",
    "trainer = gluon.Trainer(net.collect_params(), 'adam', {'learning_rate': .001})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f7ad33004e5b4f6682afb13f6d2c58ab",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "A Jupyter Widget"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch0, Training loss 184.74, Validation loss 171.09\n",
      "Epoch5, Training loss 149.90, Validation loss 152.18\n",
      "Epoch10, Training loss 144.68, Validation loss 147.63\n",
      "Epoch15, Training loss 142.25, Validation loss 145.02\n",
      "Epoch20, Training loss 140.76, Validation loss 143.81\n",
      "Epoch25, Training loss 139.74, Validation loss 144.16\n",
      "Epoch30, Training loss 138.88, Validation loss 142.90\n",
      "Epoch35, Training loss 138.06, Validation loss 141.46\n",
      "Epoch40, Training loss 137.90, Validation loss 141.75\n",
      "Epoch45, Training loss 137.45, Validation loss 141.13\n",
      "\n",
      "Time elapsed: 1035.14s\n"
     ]
    }
   ],
   "source": [
    "n_epoch = 50\n",
    "print_period = n_epoch // 10\n",
    "start = time.time()\n",
    "\n",
    "training_loss = []\n",
    "validation_loss = []\n",
    "for epoch in tqdm_notebook(range(n_epoch), desc='epochs'):\n",
    "    epoch_loss = 0\n",
    "    epoch_val_loss = 0\n",
    "    \n",
    "    train_iter.reset()\n",
    "    test_iter.reset()\n",
    "    \n",
    "    n_batch_train = 0\n",
    "    for batch in train_iter:\n",
    "        n_batch_train +=1\n",
    "        data = batch.data[0].as_in_context(model_ctx)\n",
    "        with autograd.record():\n",
    "            loss = net(data)\n",
    "        loss.backward()\n",
    "        trainer.step(data.shape[0])\n",
    "        epoch_loss += nd.mean(loss).asscalar()\n",
    "    \n",
    "    n_batch_val = 0\n",
    "    for batch in test_iter:\n",
    "        n_batch_val +=1\n",
    "        data = batch.data[0].as_in_context(model_ctx)\n",
    "        loss = net(data)\n",
    "        epoch_val_loss += nd.mean(loss).asscalar()\n",
    "    \n",
    "    epoch_loss /= n_batch_train\n",
    "    epoch_val_loss /= n_batch_val\n",
    "    \n",
    "    training_loss.append(epoch_loss)\n",
    "    validation_loss.append(epoch_val_loss)\n",
    "    \n",
    "    if epoch % max(print_period,1) == 0:\n",
    "        tqdm.write('Epoch{}, Training loss {:.2f}, Validation loss {:.2f}'.format(epoch, epoch_loss, epoch_val_loss))\n",
    "        \n",
    "end = time.time()\n",
    "print('Time elapsed: {:.2f}s'.format(end - start))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "net.save_parameters(model_prefix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x13d1f64e0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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pkOl7xKf1/h39KHjC4Dhn8APpE5/4BMuWLePgwYMsWbKEJ554goqKCtauXUtkZCR5eXnd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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13d1c9470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_x = np.linspace(1, n_epoch, len(training_loss))\n",
    "plt.plot(batch_x, -1*np.array(training_loss))\n",
    "plt.plot(batch_x, -1*np.array(validation_loss))\n",
    "plt.legend(['train', 'valid'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "net2 = VAE(n_hidden=n_hidden, n_latent=n_latent, n_layers=n_layers, n_output=n_output, batch_size=batch_size)\n",
    "net2.load_parameters(model_prefix, ctx=model_ctx)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizing reconstruction quality"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "test_iter.reset()\n",
    "test_batch = test_iter.next()\n",
    "net2(test_batch.data[0].as_in_context(model_ctx))\n",
    "result = net2.output.asnumpy()\n",
    "original = test_batch.data[0].asnumpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0t6TlJU2U9C8ppe07fu9fO353R0mLS/qSpLdSSktLukTSiZKWkfRzSZeklJax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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f7029e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_samples = 10\n",
    "idx = np.random.choice(batch_size, n_samples)\n",
    "_, axarr = plt.subplots(2, n_samples, figsize=(16,4))\n",
    "for i,j in enumerate(idx):\n",
    "    axarr[0,i].imshow(original[j].reshape((28,28)), cmap='Greys')\n",
    "    if i==0:\n",
    "        axarr[0,i].set_title('original')\n",
    "    #axarr[0,i].axis('off')\n",
    "    axarr[0,i].get_xaxis().set_ticks([])\n",
    "    axarr[0,i].get_yaxis().set_ticks([])\n",
    "\n",
    "    axarr[1,i].imshow(result[j].reshape((28,28)), cmap='Greys')\n",
    "    if i==0:\n",
    "        axarr[1,i].set_title('reconstruction')\n",
    "    #axarr[1,i].axis('off')\n",
    "    axarr[1,i].get_xaxis().set_ticks([])\n",
    "    axarr[1,i].get_yaxis().set_ticks([])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizing latent space (when it is 2D)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "n_batches = 10\n",
    "counter = 0\n",
    "results = []\n",
    "labels = []\n",
    "for batch in test_iter:\n",
    "    net2(batch.data[0].as_in_context(model_ctx))\n",
    "    results.append(net2.mu.asnumpy())\n",
    "    labels.append(batch.label[0].asnumpy())\n",
    "    counter +=1\n",
    "    if counter >= n_batches:\n",
    "        break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "result= np.vstack(results)\n",
    "labels = np.hstack(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZVU0crJpBRBBb2mFMGFtuHS6t66xkY8uZ52eoRHC763C743BjpDQPzyUaxbyL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CKC7OrsoFUQNGclQzrNMZOf7RplVXucn+4Y4an9gYvNLUsbedO6dsKGRtF2yZQc6iMGpnZq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\neXTQqtFoNBqNRqNZ8vx/j9tE4CRGjhEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12092ac18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if result.shape[1]==2:\n",
    "    from scipy.special import ndtri\n",
    "    from scipy.stats import norm\n",
    "\n",
    "    fig, axarr = plt.subplots(1,2, figsize=(10,4))\n",
    "    im=axarr[0].scatter(result[:, 0], result[:, 1], c=labels, alpha=0.6, cmap='Paired')\n",
    "    axarr[0].set_title(r'scatter plot of $\\mu$')\n",
    "    axarr[0].axis('equal')\n",
    "    fig.colorbar(im, ax=axarr[0])\n",
    "\n",
    "    im=axarr[1].scatter(norm.cdf(result[:, 0]), norm.cdf(result[:, 1]), c=labels, alpha=0.6, cmap='Paired')\n",
    "    axarr[1].set_title(r'scatter plot of $\\mu$ on norm.cdf() transformed coordinates')\n",
    "    axarr[1].axis('equal')\n",
    "    fig.colorbar(im, ax=axarr[1])\n",
    "    plt.tight_layout()\n",
    "    if output_fig:\n",
    "        plt.savefig('2d_latent_space_for_test_samples.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sample latent space and generate images"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Random sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "n_samples = 10\n",
    "zsamples = nd.array(np.random.randn(n_samples*n_samples, n_latent))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "images = net2.decoder(zsamples.as_in_context(model_ctx)).asnumpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vf/vb/PCHP5R9MUajkbm5OTweDyaTiR/96EfU1NTc0fhkf6zLy8t87Wtf4+LF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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1209f2860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "canvas = np.empty((28*n_samples, 28*n_samples))\n",
    "for i, img in enumerate(images):\n",
    "    x = i // n_samples\n",
    "    y = i % n_samples\n",
    "    canvas[(n_samples-y-1)*28:(n_samples-y)*28, x*28:(x+1)*28] = img.reshape(28, 28)\n",
    "plt.figure(figsize=(4, 4))        \n",
    "plt.imshow(canvas, origin=\"upper\", cmap=\"Greys\")\n",
    "plt.axis('off')\n",
    "plt.tight_layout()\n",
    "if output_fig:\n",
    "    plt.savefig('generated_samples_with_{}D_latent_space.png'.format(n_latent))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Grid scan 2D latent space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BADqdLuWAzcnPKibDe71ejEYjGo1GTpy22WzY7XY5LX4mZVO0rxse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3Q6/X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\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      "text/plain": [
       "<matplotlib.figure.Figure at 0x120a07be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if n_latent==2: \n",
    "    n_pts = 20\n",
    "\n",
    "    idx = np.arange(0, n_pts)\n",
    "\n",
    "    x = np.linspace(norm.cdf(-3), norm.cdf(3),n_pts)\n",
    "    x = ndtri(x)\n",
    "\n",
    "    x_grid = np.array(np.meshgrid(*[i for i in np.matlib.repmat(x,n_latent,1)]))\n",
    "    id_grid = np.array(np.meshgrid(*[i for i in np.matlib.repmat(idx,n_latent,1)]))\n",
    "\n",
    "    zsamples = nd.array(x_grid.reshape((n_latent, -1)).transpose())\n",
    "    zsamples_id = id_grid.reshape((n_latent, -1)).transpose()\n",
    "\n",
    "    images = net2.decoder(zsamples.as_in_context(model_ctx)).asnumpy()\n",
    "\n",
    "    #plot\n",
    "    canvas = np.empty((28*n_pts, 28*n_pts))\n",
    "    for i, img in enumerate(images):\n",
    "        x, y = zsamples_id[i]\n",
    "        canvas[(n_pts-y-1)*28:(n_pts-y)*28, x*28:(x+1)*28] = img.reshape(28, 28)\n",
    "    plt.figure(figsize=(6, 6))        \n",
    "    plt.imshow(canvas, origin=\"upper\", cmap=\"Greys\")\n",
    "    plt.axis('off')\n",
    "    plt.tight_layout()\n",
    "    if output_fig:\n",
    "        plt.savefig('2d_latent_space_scan_for_generation.png')"
   ]
  }
 ],
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   "display_name": "Python 3",
   "language": "python",
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    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
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